A sharp double inequality involving generalized complete elliptic integral of the first kind

被引：206
|
作者：
Zhao, Tie-Hong [1 ]
Wang, Miao-Kun [2 ]
Chu, Yu-Ming [2 ,3 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Gaussian hypergeometric function; generalized elliptic integral; gamma function; psi function; POWER MEAN INEQUALITY; TRANSFORMATION INEQUALITIES; HARMONIC CONVEXITIES; BOUNDS; CONCAVITY; RESPECT; FORM;
D O I：
10.3934/math.2020290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.
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页码：4512 / 4528
页数：17
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